In the diagram, we give the coordinates as follows
(0,-6) where 0 is x(1) and -6 is y(1)
Also,(3,3) where 3 is x(2) and 3 is y(2)
The slope of a line (m) can be solved with the formula below:
![\begin{gathered} \text{slope(m)}=(y_2-y_1)/(x_2-x_1) \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ao4qhz9fr0s4m9tok7bn7qo5ig65dluy0h.png)
We then insert the coordinates into the formula
![\begin{gathered} m=(3-(-6))/(3-0) \\ m=(3+6)/(3) \\ m=(9)/(3) \\ m=3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/j36nbkskpmvfd9covxe2coi54ye6ks19z3.png)
Therefore the slope of the line is 3.
Note: m and the slope are the same.